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2 years ago

I need help with bisectors

Mathematics

1 answer:

Westkost [7]2 years ago

6 0

Answer:

m∠ABC = 65° as both m∠ABC is similar to m∠DBC

Explanation:

notice: the two signs on top of the angles which refers to them being similar.

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David invested $340 in an account paying an interest rate of 2\tfrac{1}{8}2 8 1 % compounded continuously. Natalie invested $3

Nutka1998 [239]

Answer:

$53.83

Step-by-step explanation:

For David

David invested $340 in an account paying an interest rate of 2\tfrac{1}{8}2 8 1 % compounded continuously.

r = 2 1/8% = 17/8% = 2.125% = 0.02125

t = 17 years

P = $340

For Compounded continuously, the formula =

A = Pe^rt

A = Amount Invested after time t

P = Principal

r = interest rate

t = time

A = $340 × e^0.02125 × 17

A = $ 487.94

For Natalie

Natalie invested $340 in an account paying an interest rate of 2\tfrac{3}{4}2 4 3 % compounded quarterly.

r = 2 3/4 % = 11/4% = 2.75% = 0.0275

t = 17 years

P = $340

n = compounded quarterly = 4 times

Hence,

Compound Interest formula =

A = P(1 + r/n)^nt

A = Amount Invested after time t

P = Principal

r = interest rate

n = compounding frequency

t = time

A = $340 (1 + 0.0275/4) ^17 × 4

A = $ 541.77

After 17 years, how much more money would Natalie have in her account than David, to the nearest dollar?

This is calculated as

$541.77 - $ 487.94

= $53.83

Hence, Natalie would have in her account, $53.83 than David

4 0

3 years ago

2 25 divided by 11 10 in fraction

koban [17]

Answer:

$\frac{4}{55}$

Step-by-step explanation:

$\frac{2}{25} \div \frac{11}{10}$

$\frac{2}{25} \times \frac{10}{11}$

$\frac{2}{5} \times \frac{2}{11} = \frac{2 \times 2}{5 \times 11}$

$\frac{4}{5 \times 11}$

$= \frac{4}{55}$

4 0

3 years ago

Read 2 more answers

I will be marking brainliest please help me with these questions.

krek1111 [17]

Answer/Step-by-step explanation:

1. To find the area of the shaded region, you'd find the area of the white rectangular shape, next, find the area of the whole triangular shape, then find the difference of their areas to get the area of the shaded region. Thus, the formula to use would be:

Area of shaded region = area of triangle - area of rectangle

Area of shaded region = ½*base*height - length*width

1. a. Volume of triangular prism = area of triangular base * height of prism

Volume of triangular prism = ½bh * H

Where,

b = 6 m

h = 4 m

H = 8 m

Substitute

Volume of prism = ½*6*4*8

Volume of prism = 96 m³

b. Volume of sphere = ⁴/3πr³

Where,

r = 9 cm

Substitute

Volume = ⁴/3*π*9³

Volume = ⁴/3*π*729

Volume ≈ 3,053.6 cm³ (nearest tenth)

2. Use Pythagorean theorem to find the height of the cone

radius of the cone (r) = ½(16) = 8 cm

Slant height (l) = 11 cm

height (h) = ?

Using Pythagorean theorem, we have:

h = √(l² - r²)

Substitute

h = √(11² - 8²)

h = √(57)

h ≈ 7.5 cm (nearest tenth)

b. Volume of the cone = ⅓πr²h

where,

r = 8 cm

h = 7.5 cm

Volume = ⅓*π*8²*7.5

Volume = 502.7 cm³ (nearest tenth)

7 0

3 years ago

A semicircle is inscribed in an isosceles triangle with base 16 and height 15 so that the

ira [324]

Answer:

7 1/17

Step-by-step explanation:

A figure can be helpful.

The inscribed semicircle has its center at the midpoint of th base. It is tangent to the side of the isosceles triangle, so a radius makes a 90° angle there.

The long side of the isosceles triangle can be found from the Pythagorean theorem to be ...

BC² = BD² +CD²

BC² = 8² +15² = 289

BC = √289 = 17

The radius mentioned (DE) creates right triangles that are similar to ∆BCD. In particular, we have ...

(long side)/(hypotenuse) = DE/BD = CD/BC

DE = BD·CD/BC = 8·15/17

DE = 7 1/17 ≈ 7.059

8 0

3 years ago

A fair die is rolled three times. What is the probability that the first outcome is less than (and not equal to) the second outc

34kurt

For part (a), first consider the simple case where we roll two dice.What is the probability that the second roll is greater than the first? Assuming a six-sided dice, the total number of outcomes $(i,j)$ is $6^2$.

5 0

3 years ago